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120,212

120,212 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

120,212 (one hundred twenty thousand two hundred twelve) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 41 × 733. Written other ways, in hexadecimal, 0x1D594.

Arithmetic Number Cube-Free Deficient Number Odious Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
212,021
Square (n²)
14,450,924,944
Cube (n³)
1,737,174,589,368,128
Divisor count
12
σ(n) — sum of divisors
215,796
φ(n) — Euler's totient
58,560
Sum of prime factors
778

Primality

Prime factorization: 2 2 × 41 × 733

Nearest primes: 120,209 (−3) · 120,223 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 41 · 82 · 164 · 733 · 1466 · 2932 · 30053 · 60106 (half) · 120212
Aliquot sum (sum of proper divisors): 95,584
Factor pairs (a × b = 120,212)
1 × 120212
2 × 60106
4 × 30053
41 × 2932
82 × 1466
164 × 733
First multiples
120,212 · 240,424 (double) · 360,636 · 480,848 · 601,060 · 721,272 · 841,484 · 961,696 · 1,081,908 · 1,202,120

Sums & aliquot sequence

As a sum of two squares: 196² + 286² = 236² + 254²
As consecutive integers: 15,023 + 15,024 + … + 15,030 2,912 + 2,913 + … + 2,952 203 + 204 + … + 530
Aliquot sequence: 120,212 95,584 100,976 94,696 121,304 110,896 112,304 105,316 81,416 71,254 40,346 20,176 22,356 38,796 54,948 80,572 60,436 — unresolved within range

Continued fraction of √n

√120,212 = [346; (1, 2, 1, 1, 11, 5, 1, 1, 42, 1, 3, 1, 6, 1, 4, 1, 1, 2, 3, 43, 22, 2, 1, 8, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand two hundred twelve
Ordinal
120212th
Binary
11101010110010100
Octal
352624
Hexadecimal
0x1D594
Base64
AdWU
One's complement
4,294,847,083 (32-bit)
Scientific notation
1.20212 × 10⁵
As a duration
120,212 s = 1 day, 9 hours, 23 minutes, 32 seconds
In other bases
ternary (3) 20002220022
quaternary (4) 131112110
quinary (5) 12321322
senary (6) 2324312
septenary (7) 1010321
nonary (9) 202808
undecimal (11) 82354
duodecimal (12) 59698
tridecimal (13) 42941
tetradecimal (14) 31b48
pentadecimal (15) 25942

As an angle

120,212° = 333 × 360° + 332°
332° ≈ 5.794 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρκσιβʹ
Mayan (base 20)
𝋯·𝋠·𝋪·𝋬
Chinese
一十二萬零二百一十二
Chinese (financial)
壹拾貳萬零貳佰壹拾貳
In other modern scripts
Eastern Arabic ١٢٠٢١٢ Devanagari १२०२१२ Bengali ১২০২১২ Tamil ௧௨௦௨௧௨ Thai ๑๒๐๒๑๒ Tibetan ༡༢༠༢༡༢ Khmer ១២០២១២ Lao ໑໒໐໒໑໒ Burmese ၁၂၀၂၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120212, here are decompositions:

  • 3 + 120209 = 120212
  • 13 + 120199 = 120212
  • 19 + 120193 = 120212
  • 31 + 120181 = 120212
  • 109 + 120103 = 120212
  • 163 + 120049 = 120212
  • 229 + 119983 = 120212
  • 241 + 119971 = 120212

Showing the first eight; more decompositions exist.

Unicode codepoint
𝖔
Mathematical Bold Fraktur Small O
U+1D594
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 96 94 (4 bytes).

Hex color
#01D594
RGB(1, 213, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.148.

Address
0.1.213.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.148

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 120,212 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.